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arXiv · 2208.09112

On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules

Nguyen Tu Cuong·Nguyen Tuan Long·Hoang Le Truong
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Abstract

This paper shows that if $R$ is a homomorphic image of a Cohen-Macaulay local ring, then $R$-module $M$ is sequentially generalized Cohen-Macaulay if and only if the difference between Hilbert coefficients and arithmetic degrees for all distinguished parameter ideals of $M$ are bounded.

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Nguyen Tu Cuong, Nguyen Tuan Long, Hoang Le Truong. 2022-08-19. On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules. https://arxiv.org/abs/2208.09112

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